>I am not sure how you can make the statement that higher minimum wages don't equate to job losses. Do you have proof?

Sure there are some studies that say it doesn't. http://www.irle.berkeley.edu/workingpapers/157-07.pdf

But it's a point of contention with economists.

In any case your examples are a gross simplification based on anectodes and reduced to typical republican/libertarian talking points.